diff --git a/docs/mhf4u7.md b/docs/mhf4u7.md index a44e3de..350e130 100644 --- a/docs/mhf4u7.md +++ b/docs/mhf4u7.md @@ -367,6 +367,9 @@ Substituting a variable in for the variable to be solved and then solving in ter = \frac{1}{16} $$ +!!! note + If $lim_{x \to a} \frac{f(x)}{g(x)}$ exists, $x - a$ *must* be a factor of both $f(x)$ and $g(x)$. Therefore, $f(a) = 0$ and $g(a) = 0$. + ### Limits and continuity If a function has holes or gaps or jumps (i.e., if it cannot be drawn with a writing utensil held down all the time), it is **discontinuous**. Otherwise, it is a **continuous** function. A function discontinuous at $x=a$ is "discontinuous at $a$", where $a$ is the "point of discontinuity".